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iff the angle between them is 120 degrees

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14y ago
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1mo ago

No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.

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Q: Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?
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Related questions

Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?

Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.


Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?

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How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?

If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.


Can the resultant magnitude of 2 vectors be smaller than either of the vectors?

Yes. As an extreme example, if you add two vectors of the same magnitude, which point in the opposite direction, you get a vector of magnitude zero as a result.


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When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.


What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?

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Can the sum of two vectors be equal to either of vectors Explain?

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